You should substitute the values of x and y from the suggested points into the given equation and if both sides are equal then the point is on that line.
Using this, the points are (-5,5), (1,2), and (5,0)
Answer:
B. f(g(x)) = 7x + 27
Step-by-step explanation:
We have, f(x) = 7x+13 and g(x) = x+2.
So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,
i.e. f(g(x)) = f(x+2)
i.e. f(g(x)) = 7 × (x+2) + 13
i.e. f(g(x)) = 7x + 14 + 13
i.e. f(g(x)) = 7x + 27
Thus, f(g(x)) = 7x + 27
Hence, option B is correct.
Answer:
$3 max
Step-by-step explanation:
Charge= b, Customer= c, Revenue= r
r= bc, currently, r= 16*10= $160
We know that: b+1 ⇒ c-2 and the target is r ≥ 130
So, this will all be reflected as:
b=10+x ⇒ c= 16-2x
- (10+x)(16-2x) ≥ 130
- 160 -20x +16x - 2x² ≥ 130
- -2x² - 4x + 30 ≥ 0
- x² + 2x -15 ≤ 0
- (x+1)² ≤ 4²
- x+1 ≤ 4 (negative value not considered)
- x ≤ 3
As we see the max increase amount is $3, when the revenue will be:
(10+3)*(16-3*2)= 13*10= $130
The set of all these points form a circle
These points are all equidistant from the center of the circle.
A. x = 3
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=3